Predrag Cvitanović | Academic Influence

Predrag Cvitanović's AcademicInfluence.com Rankings

Predrag Cvitanović

Physics

#1630

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#2487

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physics Degrees

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Physics

Predrag Cvitanović's Degrees

PhD Physics University of Zagreb

Why Is Predrag Cvitanović Influential?

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According to Wikipedia, Predrag Cvitanović is a theoretical physicist regarded for his work in nonlinear dynamics, particularly his contributions to periodic orbit theory. Life Cvitanović earned his B.S. from MIT in 1969 and his Ph.D. at Cornell University in 1973. Before joining the physics department at the Georgia Institute of Technology he was the director of the Center for Chaos and Turbulence Studies of the Niels Bohr Institute in Copenhagen.

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Predrag Cvitanović's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Universality in Chaos (1989) (395)
Recycling of strange sets: I. Cycle expansions (1990) (321)
Group Theory: Birdtracks, Lie's, and Exceptional Groups (2008) (214)
Recycling of strange sets: II. Applications (1990) (181)
Group theory for Feynman diagrams in non-Abelian gauge theories (1976) (172)
Periodic orbits as the skeleton classical and quantum chaos (1991) (137)
Periodic orbit expansions for classical smooth flows (1991) (105)
Revealing the state space of turbulent pipe flow by symmetry reduction (2012) (89)
Scaling Laws for Mode Lockings in Circle Maps (1985) (88)
Variational method for finding periodic orbits in a general flow. (2003) (76)
Symmetry decomposition of chaotic dynamics (1993) (76)
Gauge Invariance Structure of Quantum Chromodynamics (1981) (76)
On the State Space Geometry of the Kuramoto-Sivashinsky Flow in a Periodic Domain (2007) (74)
Geometry of the turbulence in wall-bounded shear flows: periodic orbits (2010) (73)
Quantum chaos-quantum measurement (1992) (73)
Number and weights of Feynman diagrams (1978) (65)
Relative periodic orbits form the backbone of turbulent pipe flow (2017) (64)
Sixth-order magnetic moment of the electron (1974) (63)
Investigation of the Lorentz gas in terms of periodic orbits. (1992) (62)
Spinors in Negative Dimensions (1982) (60)
Recurrent flows: the clockwork behind turbulence (2013) (57)
Classical and Quantum Chaos (2001) (54)
Unstable recurrent patterns in Kuramoto-Sivashinsky dynamics. (2005) (53)
Periodic orbit theory in classical and quantum mechanics. (1992) (52)
Group theory (2008) (45)
Manipulating epileptiform bursting in the rat hippocampus using chaos control and adaptive techniques (2003) (44)
Deterministic Chaos and Noise in Three In Vitro Hippocampal Models of Epilepsy (2004) (43)
Dynamical averaging in terms of periodic orbits (1995) (42)
The spectrum of the period-doubling operator in terms of cycles (1990) (40)
Feynman-Dyson rules in parametric space (1974) (37)
Universality for period n-tuplings in complex mappings (1983) (36)
Chaos, Order, and Patterns (1991) (35)
The planar sector of field theories (1982) (35)
Stable manifolds and the transition to turbulence in pipe flow (2008) (35)
Reduction of SO(2) symmetry for spatially extended dynamical systems. (2014) (34)
New approach to the separation of ultraviolet and infrared divergences of Feynman-parametric integrals (1974) (34)
A Fredholm determinant for semiclassical quantization. (1993) (33)
Asymptotic estimates and gauge invariance (1977) (32)
Trace Formulas for Stochastic Evolution Operators: Weak Noise Perturbation Theory (1998) (32)
Planar perturbation expansion (1981) (32)
Symmetry reduction in high dimensions, illustrated in a turbulent pipe. (2015) (31)
Negative dimensions and E7 symmetry (1981) (30)
The cross-over points in lattice gauge theories with continuous gauge groups (1981) (30)
Periodic orbit theory applied to a chaotically oscillating gas bubble in water (2002) (27)
Transport properties of the Lorentz gas in terms of periodic orbits (1993) (27)
Trace formulae for stochastic evolution operators: smooth conjugation method (1998) (26)
Modulated amplitude waves in Bose-Einstein condensates. (2003) (26)
Circle Maps: Irrationally Winding (1992) (26)
Chaotic field theory: a sketch (2000) (25)
Estimating the Dimension of an Inertial Manifold from Unstable Periodic Orbits. (2016) (25)
Spectrum of stochastic evolution operators: local matrix representation approach. (1999) (24)
Continuous symmetry reduction and return maps for high-dimensional flows (2010) (24)
A perturbative analysis of modulated amplitude waves in Bose-Einstein condensates. (2003) (23)
Universality in chaos : a reprint selection (1989) (22)
Unstable Manifolds of Relative Periodic Orbits in the Symmetry-Reduced State Space of the Kuramoto–Sivashinsky System (2015) (22)
Fractal «aggregates» in the complex plane (1988) (22)
How well can one resolve the state space of a chaotic map? (2009) (19)
On the mode-locking universality for critical circle maps (1990) (19)
Newton's descent method for the determination of invariant tori. (2006) (19)
Parton evolution as a branching process (1980) (17)
Cartography of high-dimensional flows: a visual guide to sections and slices. (2012) (17)
BIFURCATION STRUCTURES IN MAPS OF HENON TYPE (1998) (17)
Reduction of continuous symmetries of chaotic flows by the method of slices (2011) (17)
Quantum fluids and classical determinants (1996) (16)
CYCLE EXPANSIONS FOR INTERMITTENT DIFFUSION (1997) (15)
Cycle Expansions for Intermittent Maps (2003) (14)
Quantum chromodynamics on the mass shell (1977) (14)
Periodic orbit analysis of a system with continuous symmetry--A tutorial. (2014) (13)
Identification of determinism in noisy neuronal systems (2002) (13)
Beyond the periodic orbit theory (1997) (11)
Periodic orbit quantization of the anisotropic Kepler problem. (1992) (10)
Stationary modulated-amplitude waves in the 1D complex Ginzburg–Landau equation (2002) (10)
Complex universality (1989) (10)
Symbolic Dynamics and Markov Partitions for the Stadium Billiard (1995) (10)
Knowing when to stop: How noise frees us from determinism (2012) (9)
Ground Control to Niels Bohr: Exploring Outer Space with Atomic Physics (2005) (9)
Periodic Eigendecomposition and Its Application to Kuramoto-Sivashinsky System (2014) (9)
Invariant Distributions and Stationary Correlation Functions of One-Dimensional Discrete Processes (2017) (8)
Linear encoding of the spatiotemporal cat (2019) (8)
Advection of Vector Fields by Chaotic Flows a (1993) (8)
Universality in chaos (or, Feigenbaum for cyclists) (1983) (8)
State space geometry of a spatio-temporally chaotic Kuramoto-Sivashinsky flow (2007) (8)
A Two-dimensional Mapping with a Strange Attractor (2017) (8)
Neighborhoods of periodic orbits and the stationary distribution of a noisy chaotic system. (2015) (7)
Continuous symmetry reduced trace formulas (2007) (7)
Perturbation theory for the Fokker-Planck operator in chaos (2016) (6)
Turbulent fields and their recurrences (2003) (6)
Periodic orbit sum rules for billiards: accelerating cycle expansions (1999) (6)
Partons and branching (1979) (6)
Wave Chaos in Elastodynamic Cavity Scattering (2001) (5)
Infra-red structure of Yang-Mills theories (1976) (5)
Yang-Mills Theory on the Mass Shell (1976) (5)
A New Determinant for Quantum Chaos (1993) (4)
Variational method for locating invariant tori (2005) (4)
Wide-angle behavior of a double-scattering diagram (1974) (4)
Reducing the state-space of the complex Lorenz flow NSF REU summer 2009 project (2009) (3)
Cycle expansion for power spectrum (1993) (3)
A chaotic lattice field theory in one dimension (2022) (3)
Color-charge algebras in Adler's chromodynamics (1978) (3)
Farey Organization of the Fractional Hall Effect (1985) (3)
Feigenbaum universality and the thermodynamic formalism (2017) (2)
Chaos is good news for physics (1987) (2)
Spatiotemporal tiling of the Kuramoto-Sivashinsky equation (2019) (2)
Geometry of state space in plane Couette flow (2009) (2)
Bifurcation structures in maps of Hénon type (1998) (1)
Intermittent Transition to Turbulence in Dissipative Dynamical Systems (2017) (1)
Scaling Behavior in a Map of a Circle Onto Itself: Empirical Results (2017) (1)
Torus breakdown in the symmetry-reduced state space of the Kuramoto-Sivashinsky system (2015) (1)
17 On Finite Limit Sets for Transformations on the Unit Interval (2017) (1)
Trace Formulas in Classical Dynamical Systems (1999) (1)
Exact solutions of the Altarelli-Parisi equations (1980) (1)
David Ritz Finkelstein (2017) (1)
Unstable Manifolds of Relative Periodic Orbits in the Symmetry-Reduced State Space of the Kuramoto–Sivashinsky System (2016) (1)
A novel approach to the empirical characterization of learning in biological systems (2021) (1)
CIRCLE MAPS IN THE COMPLEX PLANE (1986) (1)
Recycling Fourier Spectra of Chaotic Systems (2007) (1)
Chapter Three. Invariants and reducibility (2008) (0)
Hard chaos, quantum billiards, and quantum dot computers (1996) (0)
Geometry of turbulence: a stroll through 61,506 dimensions (2009) (0)
Chapter Seven. Casimir operators (2008) (0)
Noise is your friend, or: How well can we resolve state space? (2014) (0)
Chapter Two. A preview (2008) (0)
Appendix A. Recursive decomposition (2008) (0)
Is space time? A spatiotemporal tiling of turbulence (2020) (0)
Chapter Eight. Group integrals (2008) (0)
Learning in a noisy environment: a Lyapunov equation approach (2016) (0)
Periodic orbits in scattering from elastic voids (2006) (0)
Introduction: Sixth Annual Gallery of Nonlinear Images (Pittsburgh, Pennsylvania, 2009). (2009) (0)
Appendix B. Properties of Young projections (2008) (0)
Spinors in Negative Dimensions (1982) (0)
Equilibria, traveling waves, and periodic orbits of plane Couette flow (2008) (0)
Chapter Nineteen. F4 family of invariance groups (2008) (0)
Chapter Sixteen. G2 family of invariance groups (2008) (0)
Chapter Fifteen. SU(n) family of invariance groups (2008) (0)
Chapter Six. Permutations (2008) (0)
Tracks, Lie's, and Exceptional Magic (2007) (0)
Chapter Thirteen. Negative dimensions (2008) (0)
First Wave chaos in elastodynamic cavity scattering (2005) (0)
Geometry of state space in plane and pipe flows (2011) (0)
Chapter Twenty-One. Exceptional magic (2008) (0)
Chapter Twenty. E7 family and its negative-dimensional cousins (2008) (0)
Renormalization Description of Transitions to Chaos (1988) (0)
Geometry of plane Couette flow transitional turbulence (2008) (0)
A Study of Tapping Mode Trajectories in an AFM (2005) (0)
Go With the Flow (2005) (0)
Project description : Turbulence : A walk through a repertoire of unstable recurrent patterns (0)
Is space time? A spatiotemporal theory of transitional turbulence (2018) (0)
Chapter Five. Recouplings (2008) (0)
( C ) Project Description : a . List of Participants (0)
Chapter Eleven. Spinors (2008) (0)
Closed complex rays in scattering from elastic voids (0)
Chapter Four. Diagrammatic notation (2008) (0)
Chapter Nine. Unitary groups (2008) (0)
Ju l 2 00 2 Stationary modulated-amplitude waves in the 1-D complex Ginzburg-Landau equation (2002) (0)
Chaos Control of Epileptiform Bursting in the Brain (2008) (0)
Project description : Quantization of strongly nonlinear field theories in terms of their unstable spatiotemporal periodic solutions (2004) (0)
Unstable periodic orbits and heteroclinic connections in plane Couette flow (2008) (0)
Geometry of State Space of Turbulent Navier-Stokes Flows (2011) (0)
Chapter Eighteen. E6 family of invariance groups (2008) (0)
A Rayleigh Benard Experiment: Helium in a Small Box (2017) (0)
A scattering approach for locomotion on heterogeneous granular media (2014) (0)
Phase Transitions on Strange Sets (1988) (0)
Chapter Ten. Orthogonal groups (2008) (0)
A Newton descent method for the determination of invariant tori (2006) (0)
State point forcing permits validation of fixed point locations during chaotic epileptic bursting in the rat brain (2003) (0)
Expansion of Bose-Einstein condensates in disorder : Anderson localization and wave chaos (0)
GROUP THEORY Exceptional Lie groups as invariance groups (2000) (0)
Introduction: Fifth Annual Gallery of Nonlinear Images (New Orleans, Louisiana, 2008) (2008) (0)
Renormalixation, Unstable Manifolds,andthe Fractal Structure ofMode Locking (1985) (0)
Quantum chaos - quantum measurement. Proceedings. (1992) (0)
Periodic Orbit Expansions for Power Spectra of Chaotic Systems (2007) (0)
In Elastodynamics Period Two Implies Chaos (2001) (0)
Computer generation of integrands for Feynman parametric integrals (1973) (0)
Chapter Twelve. Symplectic groups (2008) (0)
Chapter Seventeen. E8 family of invariance groups (2008) (0)
Semiclassical quantization ( (0)
QUANTUM FIELD THEORY a cyclist tour (2005) (0)
Farey Organization of the Fractional Hall Effect (1985) (0)
Scaling Laws for Mode Lockings in Circle Maps (1985) (0)
Spatial Resonances in Bose-Einstein Condensation in Periodic Lattices (2004) (0)
Chapter Fourteen. Spinors’ symplectic sisters (2008) (0)

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